تقرير
SymTh for non-finite symmetries
| العنوان: | SymTh for non-finite symmetries |
|---|---|
| المؤلفون: | Apruzzi, Fabio, Bedogna, Francesco, Dondi, Nicola |
| سنة النشر: | 2024 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | Symmetry topological field theory (SymTFT) is a very convenient tool to study finite generalized symmetries of a given quantum field theory (QFT). In particular, SymTFTs encode all the symmetry structures and properties including anomalies. Recently this tool has been applied for non-finite symmetries as well. In this paper, we take a different route, which consists of considering a free theory rather than a topological field theory in the bulk. We call it Symmetry Theory (SymTh). We study its topological operators together with the free boundary conditions. We also propose a procedure that is analogous to the sandwich construction of symmetry TFTs and it allows us to obtain the physical QFT. We apply this to many examples, ranging from abelian $p$-form symmetries to 2-groups, and the (solvable) case of group-like symmetries in quantum mechanics. Finally, we provide a derivation for the SymTh of $\mathbb Q/ \mathbb Z$ non-invertible symmetries from the dimensional reduction of IIB supergravity on the conifold. In addition, we give an ultraviolet (UV) interpretation of the quantum Hall states dressing the non-invertible $\mathbb Q/ \mathbb Z$ topological operators, in terms of branes in the IIB supergravity background. Comment: 37 pages, comments are welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.14813 |
| رقم الأكسشن: | edsarx.2402.14813 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |